Dynamic characteristics of a multi-span high-pier bridge with variable cross-sections

被引：0
|
作者：
Zhou W. [1 ]
Zhou D. [1 ]
Zhang J. [1 ]
Liu D. [2 ]
机构：
[1] College of Civil Engineering, Nanjing Tech University, Nanjing
[2] JSTI Group, Nanjing
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 16期
关键词：
Dynamic characteristics; Elastic supports; Euler-Bernoulli beam; Multi-span high-pier; Variable cross-section;
D O I：
10.13465/j.cnki.jvs.2021.16.014
中图分类号：
学科分类号：
摘要：
The free vibration characteristics of a multi-span high-pier bridge with variable cross-sections were studied. The equivalent cross-sectional area and moment of inertia of the variable section beam were calculated, and the piers were simplified as elastic supports. Based on the Euler-Bernoulli beam theory, an analysis model of multi-span high-pier bridge with several elastic supports was established. The reaction forces of the elastic supports were regarded as unknown external forces on the beam, and the natural frequencies and mode shapes of the beam were calculated. The calculation results were in good agreement with the finite element results. Finally, the influence of the change rate of the beam cross-section, the height of the pier on natural frequencies and mode shapes of the beam were analyzed. The results provide a scientific reference for the design of multi-span high-pier variable-section bridges. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：111 / 117and182
相关论文
共 15 条
  • [1] ZHAO Yan, HAN Qiang, DU Xiuli, Experimental study on seismic performance of rectangular hollow bridge piers under axial load and biaxial bending, Earthquake Resistant Engineering and Retrofitting, 35, 5, pp. 11-18, (2013)
  • [2] WANG Ping, Analysis on dynamic characteristics of long-span double-limb thin-wall pier continuous rigid-frame bridge, Urban Roads Bridges & Flood Control, 4, pp. 58-60, (2019)
  • [3] LIU Peng, MO Linhui, LI Shihui, Et al., Vehicle-bridge coupling vibration analysis of long-span continuous box girder bridge with variable cross section, Highway Engineering, 36, 3, pp. 11-15, (2011)
  • [4] WANG Xiaochen, PU Junping, Finite element analysis of variable section beam, Journal of Zhejiang University of Technology, 36, 3, pp. 311-315, (2008)
  • [5] LEE J W, LEE J Y., Free vibration analysis using the transfer-matrix method on a tapered beam, Computers and Structures, 164, pp. 75-82, (2016)
  • [6] FIROUZ-ABADI R D, HADDADPOUR H, NOVINZADEH A B., An asymptotic solution to transverse free vibrations of variable-section beams, Journal of Sound & Vibration, 304, 3, pp. 530-540, (2007)
  • [7] DUAN G H, WANG X W., Free vibration analysis of multiple-stepped beams by the discrete singular convolution, Applied Mathematics and Computation, 219, 24, pp. 11096-11109, (2013)
  • [8] CUI Can, JIANG Han, LI Yinghui, Semi-analytical method for calculating vibration characteristics of variable cross-section beam, Journal of Vibration and Shock, 31, 14, pp. 85-88, (2012)
  • [9] LI Yinghui, CUI Can, An analytical method for vibration characteristic of beam with variable cross-section subjected to variable axial force, Journal of Chongqing Institute of Technology(Natural Science), 26, 5, pp. 28-32, (2012)
  • [10] YAN Weiming, SHI Luning, HE Haoxiang, Et al., Semi-analytical solution of dynamic characteristics of non-uniform beams with complete elastic supports, Journal of Vibration and Shock, 34, 14, pp. 76-84, (2015)
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